- Amal Augustine
- January 20, 2026
Ultimate Colligative Properties Numerical Questions Solved Effortlessly for Top Marks
Colligative properties numerical questions form one of the most important and frequently tested topics in physical chemistry, especially through numerical questions. These colligative properties numerical questions depend only on the number of solute particles present in a solution and not on their chemical nature. As a result, colligative properties numerical questions, numerical problems based on colligative properties play a crucial role in competitive examinations such as NEET, JEE Main, JEE Advanced, and CUET.
The four main colligative properties numerical questions are relative lowering of vapour pressure, elevation in boiling point, depression in freezing point, and osmotic pressure. In colligative properties numerical questions ,numerical questions from this chapter usually combine these concepts with calculations involving molality, molarity, normality, van’t Hoff factor, degree of dissociation or association, and sometimes electrochemistry or redox reactions. This makes the topic conceptually rich and mathematically intensive.
What makes colligative properties numerical questions particularly important is their predictability. In colligative properties numerical questions most problems follow well-defined formulas and logical steps. Once aspirants understand the underlying principles—such as why molality is preferred over molarity, or how electrolytes affect the number of particles—the calculations become systematic. These colligative properties numerical questions often test the aspirant’s ability to apply formulas accurately, handle units correctly, and interpret physical meaning rather than memorise facts.
Another key feature of colligative properties numerical questions is their application-based nature. Colligative properties numerical questions concepts like osmotic pressure are directly linked to biological systems such as blood, intravenous solutions, and proteins. Similarly, freezing point depression and boiling point elevation are used to determine molar masses of non-volatile solutes, polymers, and biomolecules. Because of these real-life connections, examiners frequently include numerical problems from this chapter.
Overall, colligative properties numerical questions act as a bridge between theoretical chemistry and practical problem-solving, making them a core scoring area for students aiming for top ranks.
MCQs on Colligative Properties Numerical Questions
1. In one molal solution that contains 0.5 mole of a solute there is:
a) 1000 g of solvent
b) 500 mL of solvent
c) 500 g of solvent
d) 100 mL of solvent
Answer: c
2. What mass of 95% pure CaCO₃ is required to neutralize 50 mL of 0.5 M HCl?
CaCO₃ + 2HCl → CaCl₂ + CO₂ + H₂O
a) 9.50 g
b) 1.25 g
c) 1.32 g
d) 3.65 g
Answer: c
3. 100 mL of 5% (w/v) NaCl solution was prepared. Albumin from egg was poured and stirred. This resulted in:
a) Lyophilic sol
b) Lyophobic sol
c) Emulsion
d) Precipitate sol
Answer: a
4. Normality of H₂SO₄ after mixing 100 mL of 0.1 M H₂SO₄ with 50 mL of 0.1 M NaOH is ____ ×10⁻¹ N (Nearest Integer):
a) 0.1
b) 0.3
c) 0.01
d) 0.03
Answer: a
5. In Kjeldahl method: NH₃ from 0.25 g compound neutralized 2.5 mL of 2 M H₂SO₄. % nitrogen is:
a) 56%
b) 26%
c) 76%
d) 60%
Answer: a
6. 20 mL of 0.02 M K₂Cr₂O₇ titrates 10 mL Fe²⁺ in acidic medium. M of Fe²⁺ is ____ ×10⁻² M (Nearest Integer):
a) 24
b) 240
c) 2.4
d) 0.24
Answer: a
7. Boiling point of 2% solution of non-volatile A equals boiling point of 8% solution of non-volatile B. Relationship:
a) MA=4MBM_A = 4M_B
b) MB=4MAM_B = 4M_A
c) MA=8MBM_A = 8M_B
d) MB=8MAM_B = 8M_A
Answer: b
8. 800 mL of 0.5 M HNO₃ heated: volume becomes half and 11.5 g HNO₃ evaporates. Molarity remaining is x×10⁻² M (Nearest Integer):
a) 54
b) 5.4
c) 0.54
d) 540
Answer: a
9. 2 L of 0.2 M H₂SO₄ reacts with 2 L of 0.1 M NaOH. Molarity of Na₂SO₄ formed is ___ millimolar (Nearest integer):
a) 25
b) 30
c) 50
d) 2.5
Answer: a
10. Gas mixture at total pressure 0.8 atm in equilibrium with ideal liquid. yA=0.5 (vapour), xA=0.2 (liquid). Vapour pressure of A is ____ atm (Nearest integer):
a) 2
b) 4
c) 6
d) 0.2
Answer: a
11. The factor ΔTfKf\frac{\Delta T_f}{K_f} represents:
a) Molarity
b) Molality
c) Normality
d) Formality
Answer: b
12. ΔTb for 1.5 m glucose = 4K, ΔTf for 4.5 m glucose = 4K. Ratio KbKf\frac{K_b}{K_f} is:
a) 3
b) 6
c) 9
d) 4
Answer: a
13. Osmotic pressure of solution made by dissolving 2.0 g protein (60 kg/mol) in 200 mL at 27°C is ___ Pa:
a) 415
b) 400
c) 215
d) 115
Answer: a
14. 1.2 mL acetic acid dissolved to make 2.0 L. ΔTf = 0.0198°C. % dissociation (Nearest integer):
(ρ=1.02 g/mL, M=60 g/mol, Kf=1.85)
a) 5%
b) 50%
c) 60%
d) 6%
Answer: a
15. 2 g non-volatile non-electrolyte in 200 g solvents A and B. KbK_b ratio A:B = 1:8. ΔTb ratio is x:y. y = ?
a) 8x
b) 7x
c) 4x
d) 3x
Answer: a
16. Osmotic pressure of blood = 7.47 bar at 300 K. Glucose solution isotonic: concentration in g/L (Nearest integer)
(M=180, R=0.834 L bar K⁻¹ mol⁻¹)
a) 54 g/L
b) 45 g/L
c) 544 g/L
d) 4.5 g/L
Answer: a
17. Vapour pressures of A and B: 50 Torr, 100 Torr. Liquid has xA=0.3. Mole fraction of A in vapour = x/17. Find x:
a) 14
b) 24
c) 4
d) 18
Answer: a
18. 0.01 M KMnO₄ added to 20 mL of 0.05 M Mohr’s salt. Burette initial reading = 0. KMnO₄ left after endpoint = ___ mL (Nearest integer):
a) 30
b) 20
c) 40
d) 50
Answer: a
19. 2.5 g protein (only glycine units) in 500 mL. π at 300 K = 5.03×10⁻³ bar. Number of glycine units:
a) 330
b) 220
c) 22
d) 33
Answer: a
20. 0.5% KCl freezes at -0.24°C. % dissociation (Nearest integer)
(Kf=1.80, M=74.6)
a) 99%
b) 100%
c) 90%
d) 89%
Answer: a
21. Amount of CO₂ dissolved in 1 L water at 298 K to prepare soda water is X = ___×10⁻³ g (Nearest integer):
a) 1222
b) 1000
c) 1200
d) 1111
Answer: a
22. Rise in BP for solution with 1.8 g glucose in 100 g solvent is 0.1°C. Ebullioscopic constant is:
a) 2 K kg/mol
b) 10 K kg/mol
c) 0.1 K kg/mol
d) 1 K kg/mol
Answer: d
23. 3 g glucose in 60 g water at 15°C. Osmotic pressure:
a) 0.43 atm
b) 5.57 atm
c) 6.57 atm
d) 0.65 atm
Answer: c
24. Which colligative property gives molar mass of proteins/polymers/colloids most precisely?
a) Depression in freezing point
b) Osmotic pressure
c) Relative lowering of vapour pressure
d) Elevation in boiling point
Answer: b
25. Which property of CO₂ makes it biologically and geo-chemically important?
a) Its low solubility in water
b) Its high compressibility
c) Its acidic nature
d) Its colorless and odorless nature
Answer: a
26. Solution contains 18 g water and 414 g ethyl alcohol. Mole fraction of water is:
a) 0.7
b) 0.8
c) 0.9
d) 0.1
Answer: d
27. Neutralization: 10 mL of 0.1 M acid A reacts with 30 mL of 0.05 M base M(OH)₂. Basicity of acid A is:
a) 3
b) 2
c) 1
d) 4
Answer: a
28. Fe₂(SO₄)₃ electrolyzed with 1.5 A deposits 0.3482 g Fe in x min. x = ? (Nearest integer)
a) 20
b) 2
c) 10
d) 40
Answer: a
29. Solute A associates in water. 0.7 g in 42 g water depresses freezing point by 0.2°C. % association (M=93, Kf=1.86):
a) 50%
b) 60%
c) 70%
d) 80%
Answer: d
Conclusion on Colligative Properties Numerical Questions
Colligative properties numerical questions are not just about calculations; they reflect a student’s conceptual clarity, logical thinking, and accuracy. Since these problems are formula-driven and structured, they provide an excellent opportunity for aspirants to score consistently well in competitive exams. With proper practice, students can learn to identify the correct formula quickly and solve problems efficiently under time pressure.
One of the major advantages of this topic is that errors are usually predictable—most mistakes arise from incorrect unit conversions, improper use of van’t Hoff factor, or confusion between molarity and molality. By practicing a wide variety of numerical problems, students can eliminate these errors and gain confidence. Regular exposure also helps in recognising question patterns, especially in problems involving electrolytes, association, dissociation, and osmotic pressure.
Moreover, colligative properties numerical questions often integrate concepts from other chapters such as solutions, thermodynamics, electrochemistry, and stoichiometry. Mastering this topic therefore strengthens overall problem-solving skills in chemistry. It also prepares aspirants for advanced applications, including polymer chemistry and biochemical systems.
In conclusion, consistent practice of colligative properties numerical questions is essential for success in exams like NEET, JEE, and CUET. A strong grasp of fundamentals, combined with regular numerical practice, transforms this chapter into one of the most reliable and high-scoring sections in physical chemistry.
Amal Augustine is the founder of ExQuizMe, a dynamic learning and quiz platform built to make education engaging, competitive, and fun. A passionate learner and an academic achiever, Amal completed his schooling at Government HSS Manjapra, graduating with 92.5% in Computer Science. He later earned his degree from St. Stephen’s College, University of Delhi, one of India’s most prestigious arts and science institutions.
Currently, Amal is pursuing his Master’s degree at National Sun Yat-sen University, Taiwan, where he continues to deepen his interest in research and technology. Throughout his school and college years, he won 50+ national-level interschool and collegiate quiz competitions, was
Beyond academics, Amal Augustine is an avid reader of science journals, a dedicated research student, and a technology enthusiast who loves programming and exploring the world of Computer Science. Through ExQuizMe, he aims to make learning accessible, enjoyable, and empowering for students across the globe.